Pith Number

pith:LGZAODO7

pith:2013:LGZAODO7H2CNM4ROF5VKRP5AUQ

not attested not anchored not stored refs pending

Black hole entropy and the renormalization group

Alejandro Satz, Ted Jacobson

arxiv:1301.3171 v2 · 2013-01-14 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGZAODO7H2CNM4ROF5VKRP5AUQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:36:17.612586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b2070ddf3e84d6722e2f6aa8bfa0a4283bf6a26ef34896832cf8d0e556d9ed

Aliases

arxiv: 1301.3171 · arxiv_version: 1301.3171v2 · doi: 10.48550/arxiv.1301.3171 · pith_short_12: LGZAODO7H2CN · pith_short_16: LGZAODO7H2CNM4RO · pith_short_8: LGZAODO7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LGZAODO7H2CNM4ROF5VKRP5AUQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 59b2070ddf3e84d6722e2f6aa8bfa0a4283bf6a26ef34896832cf8d0e556d9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3f0b01e51addf8d60d568e603d9c9fb7843196c782d847b31dc07586267437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-14T22:07:05Z",
    "title_canon_sha256": "ee0f9b26ad593a39e791a9bdf50250004859bd62cdc546596d0074fdd01ca38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3171",
    "kind": "arxiv",
    "version": 2
  }
}